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Simplifying 2cos3x + -1cos2x + -1cosx = 0 Reorder the terms: -1cosx + -1cos2x + 2cos3x = 0 Solving -1cosx + -1cos2x + 2cos3x = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'cosx'. cosx(-1 + -1s + 2s2) = 0 Factor a trinomial. cosx((-1 + -2s)(1 + -1s)) = 0Subproblem 1
Set the factor 'cosx' equal to zero and attempt to solve: Simplifying cosx = 0 Solving cosx = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cosx = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + -2s)' equal to zero and attempt to solve: Simplifying -1 + -2s = 0 Solving -1 + -2s = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2s = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2s = 0 + 1 -2s = 0 + 1 Combine like terms: 0 + 1 = 1 -2s = 1 Add '2s' to each side of the equation. -2s + 2s = 1 + 2s Combine like terms: -2s + 2s = 0 0 = 1 + 2s Simplifying 0 = 1 + 2s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Add 's' to each side of the equation. -1s + s = -1 + s Combine like terms: -1s + s = 0 0 = -1 + s Simplifying 0 = -1 + s The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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